Q: What are the factor combinations of the number 27,088,531?

 A:
Positive:   1 x 2708853117 x 1593443983 x 275571621 x 16711
Negative: -1 x -27088531-17 x -1593443-983 x -27557-1621 x -16711


How do I find the factor combinations of the number 27,088,531?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 27,088,531, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 27,088,531
-1 -27,088,531

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,088,531.

Example:
1 x 27,088,531 = 27,088,531
and
-1 x -27,088,531 = 27,088,531
Notice both answers equal 27,088,531

With that explanation out of the way, let's continue. Next, we take the number 27,088,531 and divide it by 2:

27,088,531 ÷ 2 = 13,544,265.5

If the quotient is a whole number, then 2 and 13,544,265.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 27,088,531
-1 -27,088,531

Now, we try dividing 27,088,531 by 3:

27,088,531 ÷ 3 = 9,029,510.3333

If the quotient is a whole number, then 3 and 9,029,510.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 27,088,531
-1 -27,088,531

Let's try dividing by 4:

27,088,531 ÷ 4 = 6,772,132.75

If the quotient is a whole number, then 4 and 6,772,132.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 27,088,531
-1 27,088,531
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1179831,62116,71127,5571,593,44327,088,531
-1-17-983-1,621-16,711-27,557-1,593,443-27,088,531

More Examples

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